25 citations · 47 across the 13 of their papers we have counts for
14 papers
Liquid crystalline order and its impact on shape evolution of fluid lipid membranes
Ingo Nitschke, Maik Porrmann, Axel Voigt
Dynamic approaches to minimize the classical curvature-elasticity free energy for a fluid lipid membrane, are extended towards a Surface Beris--Edwards--Helfrich model. This extens…
Surface Phase-Field-Crystal-Helfrich model for out-of-plane deformations in thin crystalline sheets with lattice mismatch
Emma Radice, Ingo Nitschke, Marco Salvalaglio +1
Thin, flexible crystalline sheets exhibit unique elastic properties due to their ability to undergo out-of-plane deformations. Understanding this behavior requires a description th…
Scalar Truesdell Time Derivative and -- Surface Gradient Flows
Rainer Backofen, Ingo Nitschke, Axel Voigt
We address surface gradient flows which allow for energy dissipation by evolving the surface and a scalar quantity on it, simultaneously. A proper choice of the time derivative and…
Hydrodynamic liquid crystal models for lipid bilayers
Ingo Nitschke, Jan Magnus Sischka, Axel Voigt
Coarse-grained continuous descriptions for lipid bilayers are typically based on minimizing the Helfrich energy. Such models consider the fluid properties of these structures only…
A topological approach to the Cahn-Hilliard equation and hyperuniform fields
Abel H. G. Milor, Otto Sumray, Heather A. Harrington +2
Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in pattern…
Solid-State Dewetting of Polycrystalline Thin Films: a Phase Field Approach
Paul Hoffrogge, Nils Becker, Daniel Schneider +3
Solid-state dewetting is the process by which thin solid films break up and retract on a substrate, forming nanostructures. While dewetting of single-crystalline films is understoo…
The influence of higher order geometric terms on the asymmetry and dynamics of membranes
Jan Magnus Sischka, Ingo Nitschke, Axel Voigt
We consider membranes as fluid deformable surface and allow for higher order geometric terms in the bending energy. The evolution equations are derived and numerically solved using…
A Non-Isothermal Phase-Field Crystal Model with Lattice Expansion: Analysis and Benchmarks
Maik Punke, Marco Salvalaglio, Axel Voigt +1
We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The thermal compatibility condition, as well as a positive…
Active nematodynamics on deformable surfaces
Ingo Nitschke, Axel Voigt
We consider active nematodynamics on deformable surfaces. Based on a thermodynamically consistent surface Beris-Edwards model we add nematic activity and focus on the emerging addi…
Persistent homology and topological statistics of hyperuniform point clouds
Marco Salvalaglio, Dominic J. Skinner, Jörn Dunkel +1
Hyperuniformity, the suppression of density fluctuations at large length scales, is observed across a wide variety of domains, from cosmology to condensed matter and biological sys…
Nonequilibrium hyperuniform states in active turbulence
Rainer Backofen, Abdelrahman Y. A. Altawil, Marco Salvalaglio +1
We demonstrate that the complex spatiotemporal structure in active fluids can feature characteristics of hyperuniformity. Using a hydrodynamic model, we show that the transition fr…
Beris-Edwards Models on Evolving Surfaces: A Lagrange-D'Alembert Approach
Ingo Nitschke, Axel Voigt
Using the Lagrange-D'Alembert principle we develop thermodynamically consistent surface Beris-Edwards models. These models couple viscous inextensible surface flow with a Landau-de…
Mesoscale modeling of deformations and defects in thin crystalline sheets
Lucas Benoit--Maréchal, Ingo Nitschke, Axel Voigt +1
We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane def…
A phase-field-crystal approach to critical nuclei
Rainer Backofen, Axel Voigt
We investigate a phase-field-crystal model for homogeneous nucleation. Instead of solving the time evolution of a density field towards equilibrium we use a String Method to identi…